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Finding the Third Proportional to 262,758.94 and 574,593.75

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Solution

The third proportional to 262,758.94 and 574,593.75 is: 1,256,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,758.94 : 574,593.75 = 574,593.75 : x
  2. Step 2: Convert to fraction form
    262,758.94/574,593.75 = 574,593.75/x
  3. Step 3: Cross multiply
    262,758.94x = 574,593.75 × 574,593.75
  4. Step 4: Simplify right side
    262,758.94x = 330,157,977,539.06
  5. Step 5: Solve for x
    x = 330,157,977,539.06/262,758.94
  6. Step 6: Final answer
    x = 1,256,505.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.